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1122412320432 = 2432131823328897
BaseRepresentation
bin10000010101010100111…
…111001101011010110000
310222022010211210121111200
4100111110333031122300
5121342200023223212
62215343515211200
7144043265210424
oct20252477153260
93868124717450
101122412320432
113a3015548067
12161645746b00
1381ac6193640
143c479cd8b84
151e2e33c86dc
hex10554fcd6b0

1122412320432 has 120 divisors (see below), whose sum is σ = 3384691949184. Its totient is φ = 345167142912.

The previous prime is 1122412320377. The next prime is 1122412320467. The reversal of 1122412320432 is 2340232142211.

1122412320432 is a `hidden beast` number, since 1 + 1 + 224 + 1 + 2 + 3 + 2 + 0 + 432 = 666.

It is a super-3 number, since 3×11224123204323 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122412320396 and 1122412320405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3248208 + ... + 3577104.

Almost surely, 21122412320432 is an apocalyptic number.

1122412320432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122412320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692345974592).

1122412320432 is an abundant number, since it is smaller than the sum of its proper divisors (2262279628752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1122412320432 is a wasteful number, since it uses less digits than its factorization.

1122412320432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330747 (or 330738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1122412320432 its reverse (2340232142211), we get a palindrome (3462644462643).

The spelling of 1122412320432 in words is "one trillion, one hundred twenty-two billion, four hundred twelve million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1823 1872 3646 5469 7292 10938 14584 16407 21876 23699 29168 32814 43752 47398 65628 71097 87504 94796 131256 142194 189592 213291 262512 284388 328897 379184 426582 568776 657794 853164 986691 1137552 1315588 1706328 1973382 2631176 2960073 3412656 3946764 4275661 5262352 5920146 7893528 8551322 11840292 12826983 15787056 17102644 23680584 25653966 34205288 38480949 47361168 51307932 68410576 76961898 102615864 153923796 205231728 307847592 599579231 615695184 1199158462 1798737693 2398316924 3597475386 4796633848 5396213079 7194950772 7794530003 9593267696 10792426158 14389901544 15589060006 21584852316 23383590009 28779803088 31178120012 43169704632 46767180018 62356240024 70150770027 86339409264 93534360036 124712480048 140301540054 187068720072 280603080108 374137440144 561206160216 1122412320432